Real Algebraic and Analytic Geometry |

Counterexamples to the Uniformity Conjecture.

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homepage: http://www.bath.ac.uk/~masdr/

Submission: 2004, March 12.

*Abstract:
Counterexamples are given to the uniformity conjecture. This
involves constructing short exp-log expressions which define extremely
small non zero numbers. This presents a problem for exact computation
with numbers which may occur in scientific computing.*

Mathematics Subject Classification (2000): 11J68.

Keywords and Phrases: exact computation, uniformity conjecture, witness conjecture, zero recognition, algebraic approximation.

**Full text**, 12p.:
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